1 citations · 2 across the 6 of their papers we have counts for
6 papers
Modular elements of the lattices of varieties of semigroups and epigroups. I
Vyacheslav Yu. Shaprynski\vı, Dmitry V. Skokov
This paper is the first part of a study devoted to description of modular elements in the lattices of semigroup and epigroup varieties. We provide strengthened necessary and suffic…
Cancellable elements of the lattices of varieties of semigroups and epigroups
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
Cancellable elements of the lattice of epigroup varieties
Dmitry V. Skokov
We completely determine all commutative epigroup varieties that are cancellable elements of the lattice EPI of all epigroup varieties. In particular, we verify that a commutative e…
On modular and cancellable elements of the lattice of semigroup varieties
Dmitry V. Skokov, Boris M. Vernikov
We completely determine all semigroup varieties satysfiyng a permutational identity of length 3 that are modular elements of the lattice of all semigroup varieties. Using this resu…
Cancellable elements of the lattice of semigroup varieties
Sergey V. Gusev, Dmitry V. Skokov, Boris M. Vernikov
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we prove that, for commutati…
Special elements of the lattice of epigroup varieties
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We study special elements of eight types (namely, neutral, standard, costandard, distributive, codistributive, modular, lower-modular and upper-modular elements) in the lattice EPI…